JEE Main 20241 Feb, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002If the system of equations 2x+3y−z=5x+αy+3z=−43x−y+βz=7\begin{aligned} & 2 x+3 y-z=5 \\\\ & x+\alpha y+3 z=-4 \\\\ & 3 x-y+\beta z=7 \end{aligned}2x+3y−z=5x+αy+3z=−43x−y+βz=7 has infinitely many solutions, then 13αβ13 \alpha \beta13αβ is equal to :AOption A. 1110BOption B. 1120COption C. 1210DOption D. 1220CheckSkip · show solution
